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We discuss our recently proposed model-independent framework for fitting hadronic form-factor data, which are often only available at discrete kinematical points, using parameterisations based on unitarity and analyticity. The accompanying…

High Energy Physics - Lattice · Physics 2023-12-25 J. M. Flynn , A. Jüttner , J. T. Tsang

This paper is organized around three main objectives. First, I review in a pedagogical way the unitarity bounds for form factors in $B$-meson decays, together with the parametrizations most commonly used in phenomenological analyses. These…

High Energy Physics - Phenomenology · Physics 2026-05-27 Nico Gubernari

We examine the semileptonic $B \to D^{(*)} \ell \nu_\ell$ and $B \to \pi \ell \nu_\ell$ decays adopting the unitarity-based Dispersive Matrix (DM) method, which allows to determine the shape of the relevant hadronic form factors (FFs) in…

High Energy Physics - Phenomenology · Physics 2022-03-31 G. Martinelli , M. Naviglio , S. Simula , L. Vittorio

In this work we discuss in detail the non-perturbative determination of the momentum dependence of the form factors entering in semileptonic decays using unitarity and analyticity constraints. The method contains several new elements with…

High Energy Physics - Lattice · Physics 2021-09-15 M. Di Carlo , G. Martinelli , M. Naviglio , F. Sanfilippo , S. Simula , L. Vittorio

We obtain model independent bounds for the form factors which arise in semileptonic B -> Pi decays. To this end we derive a theoretical restriction for possible combinations of the value of the form factor and its derivatives at the…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Mannel , B. Postler

We introduce a new parameterization of $B\rightarrow D \pi \ell \nu$ form factors using a partial-wave expansion and derive bounds on the series coefficients using analyticity and unitarity. This is the first generalization of the…

High Energy Physics - Phenomenology · Physics 2024-10-22 Erik J. Gustafson , Florian Herren , Ruth S. Van de Water , Raynette van Tonder , Michael L. Wagman

Experimental checks of the second row unitarity of the Cabibbo-Kobayashi-Maskawa (CKM) matrix involve extractions of the matrix element $V_{cd}$, which may be obtained from semileptonic decay rates of $D$ to $\pi$. These decay rates are…

High Energy Physics - Phenomenology · Physics 2020-08-12 Cody M. Grant , Ayesh Gunawardana , Alexey A. Petrov

An angular analysis of the decay ${\overline{B} \rightarrow D^\ast \ell^- \overline{\nu}_\ell}$, $\ell\in\{e,\mu\}$, is reported using the full $e^+e^-$ collision data set collected by the \babar experiment at the $\Upsilon(4S)$ resonance.…

High Energy Physics - Experiment · Physics 2019-09-04 B. Dey

We determine matrix elements for $B \to D$ semileptonic decay. The use of the constrained fitting method and multiple smearings for both two- and three-point correlators allows an improved calculation of the form factors.

High Energy Physics - Lattice · Physics 2009-11-07 M. Gurtler , C. T. H. Davies , J. Hein , J. Shigemitsu , G. P. Lepage

The Cabibbo-Kobayashi-Maskawa (CKM) matrix element $\vert V_{ub}\vert$ is obtained from exclusive semileptonic $B \to \pi \ell \nu_\ell$ and $B_s \to K \ell \nu_\ell$ decays adopting the unitarity-based dispersion matrix approach for the…

High Energy Physics - Phenomenology · Physics 2022-08-24 G. Martinelli , S. Simula , L. Vittorio

We present the results of the application of the Dispersion Matrix approach to exclusive semileptonic $B$-meson decays. This method allows to determine the hadronic form factors in a non-perturbative and completely model-independent way.…

High Energy Physics - Phenomenology · Physics 2022-11-30 G. Martinelli , M. Naviglio , S. Simula , L. Vittorio

We present a new method aiming at a non-perturbative, model-independent determination of the momentum dependence of the form factors entering semileptonic decays using unitarity and analyticity constraints. We extend the original proposal…

High Energy Physics - Lattice · Physics 2021-11-30 Matteo Di Carlo , Guido Martinelli , Manuel Naviglio , Francesco Sanfilippo , Silvano Simula , Ludovico Vittorio

We present an analysis of the exclusive semileptonic decay $B\to D^\ast \ell\bar\nu_\ell$ based on the Belle and Belle II data made public in 2023, combined with recent lattice-QCD calculations of the hadronic transition form factors by…

High Energy Physics - Phenomenology · Physics 2024-06-17 Marzia Bordone , Andreas Juttner

Model-independent constraints on hadronic form factors, in particular those describing exclusive semileptonic decays, can be derived from the knowledge of field correlators calculated in perturbative QCD, using analyticity and unitarity.…

High Energy Physics - Phenomenology · Physics 2017-09-06 Irinel Caprini , Benjamin Grinstein , Richard F. Lebed

We developed the new parton model approach for exclusive semileptonic decays of $B$-meson to $D,~D^*$ by extending the inclusive parton model, and by combining with the results of the HQET, motivated by Drell-Yan process. Without the…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. S. Kim , Jae Kwan Kim , Yeong Gyun Kim , Kang Young Lee

We reanalyze B -> D pi and B -> K J/psi data to extract a set of parameters which give the relevant hadronic matrix elements in terms of factorized amplitudes. Various sources of theoretical uncertainties are studied, in particular those…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Ciuchini , R. Contino , E. Franco , G. Martinelli

Factor models are widely used across diverse areas of application for purposes that include dimensionality reduction, covariance estimation, and feature engineering. Traditional factor models can be seen as an instance of linear embedding…

Methodology · Statistics 2020-08-13 Xingchen Yu , Abel Rodriguez

We update the lattice calculation of the $B\to\pi$ semileptonic form factors, which have important applications to the CKM matrix element $|V_{ub}|$ and the $B\to\pi\ell^+\ell^-$ rare decay. We use MILC asqtad ensembles with $N_f=2+1$ sea…

A method of deriving bounds on the weak meson form factors, based on perturbative QCD, analyticity and unitarity, is generalized in order to fully exploit heavy quark spin symmetry in the ground state $(L=0)$ doublet of pseudoscalar $(B)$…

High Energy Physics - Phenomenology · Physics 2009-10-28 I. Caprini , C. Macesanu

We propose the implementation of two ingredients in the phenomenological applications of the unitary approach based on the $z$-expansion of hadronic form factors, commonly referred to as the Boyd-Grinstein-Lebed (BGL) $z$-expansion [1-4].…

High Energy Physics - Phenomenology · Physics 2026-03-25 Silvano Simula , Ludovico Vittorio
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